Anisotropic $H_{div}$-norm error estimates for rectangular $H_{div}$-elements
Numerical Analysis
2021-03-15 v1 Numerical Analysis
Abstract
For the discretisation of -functions on rectangular meshes there are at least three families of elements, namely Raviart-Thomas-, Brezzi-Douglas-Marini- and Arnold-Boffi-Falk-elements. In order to prove convergence of a numerical method using them, sharp interpolation error estimates are important. We provide them here in an anisotropic setting for the -norm.
Keywords
Cite
@article{arxiv.2103.07196,
title = {Anisotropic $H_{div}$-norm error estimates for rectangular $H_{div}$-elements},
author = {Sebastian Franz},
journal= {arXiv preprint arXiv:2103.07196},
year = {2021}
}
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6 pages